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Finding the Fourth Proportional to 502,006.12, 692,767.02 and 300,802.12

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Solution

The fourth proportional to 502,006.12, 692,767.02 and 300,802.12 is: 415,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,006.12 : 692,767.02 = 300,802.12 : x
  2. Step 2: Convert to fraction form
    502,006.12/692,767.02 = 300,802.12/x
  3. Step 3: Cross multiply
    502,006.12x = 692,767.02 × 300,802.12
  4. Step 4: Simplify right side
    502,006.12x = 208,385,788,282.08
  5. Step 5: Solve for x
    x = 208,385,788,282.08/502,006.12
  6. Step 6: Final answer
    x = 415,106.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.